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Finding the Fourth Proportional to 3,220.75, 4,830.57 and 969.25

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Solution

The fourth proportional to 3,220.75, 4,830.57 and 969.25 is: 1,453.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,220.75 : 4,830.57 = 969.25 : x
  2. Step 2: Convert to fraction form
    3,220.75/4,830.57 = 969.25/x
  3. Step 3: Cross multiply
    3,220.75x = 4,830.57 × 969.25
  4. Step 4: Simplify right side
    3,220.75x = 4,682,047.33
  5. Step 5: Solve for x
    x = 4,682,047.33/3,220.75
  6. Step 6: Final answer
    x = 1,453.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.